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Finding the Fourth Proportional to 463,399.60, 695,358.60 and 197,114.80

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Solution

The fourth proportional to 463,399.60, 695,358.60 and 197,114.80 is: 295,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,399.60 : 695,358.60 = 197,114.80 : x
  2. Step 2: Convert to fraction form
    463,399.60/695,358.60 = 197,114.80/x
  3. Step 3: Cross multiply
    463,399.60x = 695,358.60 × 197,114.80
  4. Step 4: Simplify right side
    463,399.60x = 137,065,471,367.28
  5. Step 5: Solve for x
    x = 137,065,471,367.28/463,399.60
  6. Step 6: Final answer
    x = 295,782.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.